Question

-4 1/6 - 1 1/3х=4х+3 5/18

Answer 1

-4 1/6-3 5/18 = 4x+1 1/3x

-4 3/18-3 5/18 = 5 1/3x

-7 8/18=5 1/3

-7 4/9=5 1/3x

x=-7 4/9:5 1/3=-67/9:16.3=-67/9*3/16 = -67/48=-1 19/48

Answer 2

To solve the equation, let's first simplify the terms:

Step 1: Convert mixed numbers to improper fractions. -4 = -4 1/6 = 6/6 + 1/6 = 7/6 -1 = -1 1/3 = 3/3 + 1/3 = 4/3

Step 2: Rewrite the equation: -4 + 7/6 - (4/3) * x = 4x + 3 + 5/18

Step 3: Combine like terms: -4 + 7/6 - (4/3) * x - 4x = 3 + 5/18

Step 4: Simplify the equation: -4 + 7/6 - 4x/3 - 4x = 3 + 5/18

Step 5: Combine integers and fractions: 7/6 - 4x/3 - 4x = 3 + 5/18 + 4

Step 6: Find a common denominator for fractions (in this case, 18): (73 - 4x6 - 4x6)/18 = (54 + 5 + 418)/18

Step 7: Simplify both sides: (21 - 24x - 24x)/18 = (54 + 5 + 72)/18

Step 8: Combine like terms: (21 - 48x)/18 = 131/18

Step 9: Cross-multiply: 21 - 48x = 18 * (131/18)

Step 10: Simplify: 21 - 48x = 131

Step 11: Move -48x to the right side: 21 = 131 + 48x

Step 12: Move 131 to the left side: 21 - 131 = 48x

Step 13: Solve for x: -110 = 48x

Step 14: Divide by 48: x = -110/48

Step 15: Simplify the fraction if possible: x = -55/24

So, the value of x in the equation is -55/24.